Here we talk about a use of HPC (not high performance computing, rather high precision computing, which is an extraordinary instance of HPC) connected to dynamical systems, for example, the logistical map in chaos theory. defined as X(k) = 4 X(k) (1 – X(k-1)).
For every one of these systems, the loss of precision engenders exponentially, to the point that after 50 cycles, all created values are totally off-base.
Huge amounts of articles have been published regarding this matter – none of them recognizing the faulty numbers being utilized, as round-off mistakes engender as quick as chaos.
This is a dynamic research region with applications in population elements, physics, and engineering.
It doesn’t negate the published outcomes, as the vast majority of them are theoretical in nature, and don’t affect the constraining conveyance as the faulty sequences carry on as occurrences of procedures that are re-seeded each 40 cycles or so because of mistakes, acting a similar path paying little mind to the seed.
The center of the talk here is about how to write code that produces much more exact numbers, regardless of whether in R, Python or different languages, utilizing super precision.
So, which libraries would it be advisable for you to use to deal with such issues?
You can look at the specific situation, Perl code, Python code, and an Excel spreadsheet that illustrates the issue, in this dialog.